الصفحة 4
الصفحة 4
Numeri e Crittografia
Number Theory is one of the most classic fields of Mathematics. The numbers he deals with are those that are called natural 0, 1, 2, ... and that we use since childhood to count. Seemingly simple and harmless, they nevertheless hide some of the most difficult and exciting mysteries of the whole of mathematics. Cryptography, on the other hand, is concerned with hiding the content of confidential communications from prying eyes and corresponds to widespread needs in our society. The Theory of Numbers can help Cryptography in these needs, thanks to the mysteries that still surround it. The text gives an account of this link. It first introduces Modern Cryptography, its goals and priorities. He then goes on to expose arguments of Number Theory, with particular reference to the two problems of recognizing prime numbers, and of decomposing a natural into its prime factors; for each of the two issues it provides a vast panorama of the algorithms that deal with it and try to solve it as effectively as possible. In particular, it presents the very recent AKS procedure for recognizing prime numbers. The book then returns to Cryptography and shows how ideas and methods of Number Theory apply to the construction of reliable procedures for the secure transmission of confidential information.
Number Theory ; Vol.15 : Tradition and Modernization
This book appears varied, they are unified by two underlying principles:first, making everything readable as a book, and second, making a smooth transition from traditional approaches to modern ones by providing a rich array of examples. The chapters are presented in quite different in depth and cover a variety of descriptive details.The book emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects.
Number Theory ; Vol. II : Analytic and Modern Tools
The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three aspects.
Number Theory ; Vol. I : Tools and Diophantine Equations
The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three aspects.
Number Theory : An Introduction to Mathematics ; Part B
This book attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. This part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches, we may obtain a broad picture.
Number Theory : An Introduction to Mathematics ; Part A
This book attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. This part A, which should be accessible to a first-year undergraduate, deals with elementary number theory.
Number Fields and Function Fields – Two Parallel Worlds
These invited articles by leading researchers in the field explore various aspects of the parallel worlds of function fields and number fields. Topics range from Arakelov geometry, the search for a theory of varieties over the field with one element, via Eisenstein series to Drinfeld modules, and t-motives.
Nuel Belnap on Indeterminism and Free Action
Seeks to further the use of formal methods in clarifying one of the central problems of philosophy: that of our free human agency and its place in our indeterministic world. It celebrates the important contributions made in this area by Nuel Belnap, American logician and philosopher. Philosophically, indeterminism and free action can seem far apart, but in Belnap’s work, they are intimately linked. This book explores their philosophical interconnectedness through a selection of original research papers that build forth on Belnap’s logical and philosophical work. Some contributions take the form of critical discussions of Belnap's published work, some develop points made in his publications in new directions, and others provide additional insights on the topics of indeterminism and free action.
Nucleic Acids Hybridization : Modern Applications
Several approaches, such as microarray hybridization, have become extremely popular tools for specialists in biochemistry and biomedicine, while the potential of many other advantageous techniques seems to be underestimated. Written by an international team of authors, this book details the current state-of-art in hybridization techniques. Coverage includes experimental protocols along with comprehensive and detailed method descriptions.
Nuclear Condensed Matter Physics with Synchrotron : Basic Principles, Methodology and Applications
This book provides a comprehensive introduction to the growing field of nuclear condensed matter physics with synchrotron radiation, a technique which finds numerous applications in fields such as magnetism, physics of surfaces and interfaces, lattice dynamics and more. Due to the enormous brilliance of modern synchrotron radiation sources, the method is particularly suited for the investigation of low-dimensional structures such as thin films and nanoparticles. The use of isotopic probe layers, for example, allows one to determine magnetic and vibrational properties with very high spatial resolution; focusing techniques and x-ray interference effects lead to a very high sensitivity for smallest amounts of material. The book is written on an introductory level with many examples employed to illustrate the special experimental possibilities.
Novel Optical Resolution Technologies
After theend ofthe 20th century, the science ofcrystallizationreached a truly exciting stage where new opportunities emerged in both theory and expe- ment. Variousphysical methodsare capable of resolving the surface as wellas the insid estructure of crystalsat the atomiclevel while newhigh-performance computing resourcesafford thecapability of modeling the complexlarge-scale alignments necessary to simulatecrystallizationinrealsystems. Asaresult, the science of crystallization has shifted gradually fromstatic to dynamic science and considerable progress now underlies the complex but beautiful cryst- lization process.The vastpotential ofcrystallizationasan- portant feld ofscience isfar beyondthesimple technologyofpharmaceutical industries during the 20th century.
Novel mouse model for future autism research
Autism spectrum disorder (ASD) is a set of neurodevelopmental disorders characterized by a deficit in social behaviors and nonverbal interactions such as reduced eye contact, facial expression, and body gestures in the first 3 years of life. It is not a single disorder, and it is broadly considered to be a multi-factorial disorder resulting from genetic and non-genetic risk factors and their interaction. Genetic studies of ASD have identified mutations that interfere with typical neurodevelopment in utero through childhood. These complexes of genes have been involved in synaptogenesis and axon motility. Recent developments in neuroimaging studies have provided many important insights into the pathological changes that occur in the brain of patients with ASD in vivo. Especially, the role of amygdala, a major component of the limbic system and the affective loop of the cortico-striatothalamo-cortical circuit, in cognition and ASD has been proved in numerous neuropathological and neuroimaging studies.
Novel food grade enzymes : Applications in food processing and preservation industries
Covers all the aspects of food-grade enzymes, including their classification, kinetics, microbial production, biosynthetic pathways, commodity-wise industrial applications, and downstream processing strategies. The broad focus of this book is on the application of various classes of enzymes in dairy, fruits and vegetables, cereals and oilseeds, meat and poultry, and brewing and food packaging industries. Certain recent areas such as nanotechnological perspective in enzyme immobilization, infusion strategies as well as its efficient usage in food packaging and preservation are some of the salient highlights of this book. This book also discusses the aspects related to application of enzymes in functional food development and shelf life extension of various commodities food products.
Novel algorithms and techniques In telecommunications, automation and industrial electronics
Novel Algorithms and Techniques in Telecommunications, Automation and Industrial Electronics includes a set of rigorously reviewed world-class manuscripts addressing and detailing state-of-the-art research projects in the areas of Industrial Electronics, Technology & Automation, Telecommunications and Networking.
Nonstandard Analysis
The book is an introduction with emphasis on those more advanced applications in analysis which are hardly accessible by other methods. Examples of such topics are a deeper analysis of certain functionals like Hahn-Banach limits or of finitely additive measures: From the viewpoint of classical analysis these are strange objects whose mere existence is even hard to prove. From the viewpoint of nonstandard analysis, these are rather 'explicit' objects.
Nonsmooth Vector Functions and Continuous Optimization
A recent significant innovation in mathematical sciences has been the progressive use of nonsmooth calculus, an extension of the differential calculus, as a key tool of modern analysis in many areas of mathematics, operations research, and engineering. Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems and variational inequalities in finite dimensions.
Nonsmooth Mechanics and Analysis : Theoretical and Numerical Advances
Nonsmooth mechanics concerns mechanical situations with possible nondifferentiable relationships, eventually discontinuous, as unilateral contact, dry friction, collisions, plasticity, damage, and phase transition. The basis of the approach consists in dealing with such problems without resorting to any regularization process. Indeed, the nonsmoothness is due to simplified mechanical modeling; a more sophisticated model would require too large a number of variables, and sometimes the mechanical information is not available via experimental investigations. Therefore, the mathematical formulation becomes nonsmooth; regularizing would only be a trick of arithmetic without any physical justification. Nonsmooth analysis was developed, especially in Montpellier, to provide specific theoretical and numerical tools to deal with nonsmoothness. It is important not only in mechanics but also in physics, robotics, and economics.
Nonparametric Monte Carlo Tests and Their Applications
A fundamental issue in statistical analysis is testing the fit of a particular probability model to a set of observed data. Monte Carlo approximation to the null distribution of the test provides a convenient and powerful means of testing model fit. Nonparametric Monte Carlo Tests and Their Applications proposes a new Monte Carlo-based methodology to construct this type of approximation Every chapter of the book includes algorithms, simulations, and theoretical deductions. The prerequisites for a full appreciation of the book are a modest knowledge of mathematical statistics and limit theorems in probability,empirical process theory.
Nonparametric Functional Data Analysis : Theory and Practice
Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On the other hand, nonparametric statistics produces useful tools for standard data exploration. This book links these two fields of modern statistics by explaining how functional data can be studied through parameter-free statistical ideas. This book starts from theoretical foundations including functional nonparametric modeling, description of the mathematical framework, construction of the statistical methods, and statements of their asymptotic behaviors. It proceeds to computational issues including R and S-PLUS routines. Several functional datasets in chemometrics, econometrics, and pattern recognition are used to emphasize the wide scope of nonparametric functional data analysis in applied sciences. The companion Web site includes R and S-PLUS routines, command lines for reproducing examples presented in the book, and the functional datasets. Rather than set application against theory, this book is really an interface of these two features of statistics. A special effort has been made in writing this book to accommodate several levels of reading.
Nonparametric Bayesian Learning for Collaborative Robot Multimodal Introspection
This book focuses on robot introspection, which has a direct impact on physical human–robot interaction and long-term autonomy, and which can benefit from autonomous anomaly monitoring and diagnosis, as well as anomaly recovery strategies.
